If `A=[cosxsinx-sinxcosx]` , find `x` satisfying `0

If P(x)=[cosxsinx-sinxcosx] , then show that P(x)P(y)=P(x+y) .

If y=|sinxcosxsinx cosx-sinxcosx x1 1| ,find (dy)/(dx)

If F(x)=[cosx-sinx0sinxcosx0 0 0 1] , show that F(x)" "F(y)" "=" "F(x" "+" "y) .

If F(x)=[(cos^(2)x,cosxsinx),(cosxsinx,sin^(2)x)] and the difference of x and y is the odd Multiple of (pi)/(2), then F(x)F(y) is :

Let Delta(x)=|(cos^(2)x,cosxsinx,-sinx),(cosxsinx,sin^(2)x,cosx),(sinx,-cosx,0)| then int_(0)^(pi//2){Delta(x)+Delta'(x)]dx equals

find dy/dx if y= sinx.cosx

Evaluate: inte^(2x)sinxcosx\ dx